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Finding the Third Proportional to 254,158 and 529,384

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Solution

The third proportional to 254,158 and 529,384 is: 1,102,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,158 : 529,384 = 529,384 : x
  2. Step 2: Convert to fraction form
    254,158/529,384 = 529,384/x
  3. Step 3: Cross multiply
    254,158x = 529,384 × 529,384
  4. Step 4: Simplify right side
    254,158x = 280,247,419,456
  5. Step 5: Solve for x
    x = 280,247,419,456/254,158
  6. Step 6: Final answer
    x = 1,102,650.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.